Mean square displacement and instantaneous diffusion coefficient of charged particles in stochastic motion

TL;DR

This paper numerically analyzes the mean square displacement and instantaneous diffusion coefficient of charged particles in stochastic motion, highlighting irregular behaviors in intermediate regimes and potential applications in astrophysics.

Contribution

It introduces a numerical method to accurately study diffusion of charged particles across different time regimes, including complex astrophysical configurations.

Findings

Diffusion coefficient exhibits irregular behavior in intermediate time regimes.

Method effectively incorporates microscopic physics beyond analytical approaches.

Potential for differential diagnosis of astrophysical configurations.

Abstract

The mean square displacement and instantaneous diffusion coefficient for different configurations of charged particles in stochastic motion are calculated by numerically solving the associated equations of motion. The method is suitable for obtaining accurate descriptions of diffusion in both intermediate and long time regimes. It is also appropriate for studying a variety of astrophysical configurations since it may incorporate microscopic physics that analytical methods cannot cope with. The results show that, in the intermediary time regime, the diffusion coefficient has an irregular behavior, which can be described in terms of the complex interplay appearing between the physical parameters describing the configuration. The main conclusion is that such an approach may serve at differential diagnosis of different astrophysical configurations.